Critical behavior of the planar magnet model in three dimensions

Article

关键词: 3-DIMENSIONAL XY-MODEL;    MONTE-CARLO;    CRITICAL EXPONENTS;    TRANSITION-TEMPERATURE;    CLUSTER UPDATE;    SUPERFLUIDS;    FIELD;    HEAT;   

DOI  :  10.1103/PhysRevB.59.11575

来源: SCIE

【 摘 要 】

We study the critical behavior of the three-dimensional planar magnet model in which each spin is considered to have three components of which only the x and y components are coupled. We use a hybrid Monte Carlo algorithm in which a single-cluster update is combined with the over-relaxation and Metropolis spin reorientation algorithm. Periodic boundary conditions were applied in all directions. We have calculated the fourth-order cumulant in finite-size lattices using the single-histogram reweighting method. Using finite-size scaling theory, we obtained the critical temperature which is very different from that of the usual XY model. At the critical temperature, we calculated the susceptibility and the magnetization on lattices of size up to 423 Using finite-size scaling theory we accurately determine the critical exponents of the model and find that nu=0.670(7), gamma/nu=1.9696(37), and beta/nu=0.515(2). Thus we conclude that the model belongs to the same universality class with the XY model, as expected. [S0163-1829(99)07117-9].

【 授权许可】

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